Nuprl Lemma : continuous-id
Continuous+(T.T)
Proof
Definitions occuring in Statement :
strong-type-continuous: Continuous+(T.F[T])
Definitions unfolded in proof :
strong-type-continuous: Continuous+(T.F[T]),
uall: ∀[x:A]. B[x],
member: t ∈ T,
ext-eq: A ≡ B,
and: P ∧ Q,
subtype_rel: A ⊆r B
Lemmas referenced :
nat_wf,
subtype_rel_self
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
sqequalHypSubstitution,
productElimination,
thin,
independent_pairEquality,
axiomEquality,
hypothesis,
functionEquality,
cumulativity,
lemma_by_obid,
universeEquality,
isectElimination,
isectEquality,
applyEquality,
hypothesisEquality,
independent_pairFormation
Latex:
Continuous+(T.T)
Date html generated:
2016_05_13-PM-04_10_15
Last ObjectModification:
2015_12_26-AM-11_22_16
Theory : subtype_1
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